Nonlinear and linear entanglement witnesses for bipartite systems via exact convex optimization
Quantum Physics
2009-10-29 v1
Abstract
Linear and nonlinear entanglement witnesses for a given bipartite quantum systems are constructed. Using single particle feasible region, a way of constructing effective entanglement witnesses for bipartite systems is provided by exact convex optimization. Examples for some well known two qutrit quantum systems show these entanglement witnesses in most cases, provide necessary and sufficient conditions for separability of given bipartite system. Also this method is applied to a class of bipartite qudit quantum systems with details for d=3, 4 and 5. Keywords: non-linear and linear entanglement witnesses PACS number(s): 03.67.Mn, 03.65.Ud
Cite
@article{arxiv.0910.5413,
title = {Nonlinear and linear entanglement witnesses for bipartite systems via exact convex optimization},
author = {M. A. Jafarizadeh and A. Heshmati and K. Aghayara},
journal= {arXiv preprint arXiv:0910.5413},
year = {2009}
}
Comments
25 pages, 3 figures